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Simplifying 0.50x + 0.15(80) = 0.40(x + 80) Multiply 0.15 * 80 0.50x + 12 = 0.40(x + 80) Reorder the terms: 12 + 0.50x = 0.40(x + 80) Reorder the terms: 12 + 0.50x = 0.40(80 + x) 12 + 0.50x = (80 * 0.40 + x * 0.40) 12 + 0.50x = (32 + 0.40x) Solving 12 + 0.50x = 32 + 0.40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.40x' to each side of the equation. 12 + 0.50x + -0.40x = 32 + 0.40x + -0.40x Combine like terms: 0.50x + -0.40x = 0.1x 12 + 0.1x = 32 + 0.40x + -0.40x Combine like terms: 0.40x + -0.40x = 0.00 12 + 0.1x = 32 + 0.00 12 + 0.1x = 32 Add '-12' to each side of the equation. 12 + -12 + 0.1x = 32 + -12 Combine like terms: 12 + -12 = 0 0 + 0.1x = 32 + -12 0.1x = 32 + -12 Combine like terms: 32 + -12 = 20 0.1x = 20 Divide each side by '0.1'. x = 200 Simplifying x = 200
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